Frustration solitaire

Details Frustration solitaire Frustration solitaire

2007-03-29

arxiv.org/abs/math/0703900v2

UMAP Journal, vol 16 (1995), pp. 137-145

Mathematics

Probability

Version dated 2 April 2009; GNU FDL. This revised version incorporates corrections requested by Steven Langfelder to the histo

Scientific paper

In this expository article, we discuss the rank-derangement problem, which asks for the number of permutations of a deck of cards such that each card is replaced by a card of a different rank. This combinatorial problem arises in computing the probability of winning the game of `frustration solitaire'. The solution is a prime example of the method of inclusion and exclusion. We also discuss and announce the solution to Montmort's `Probleme du Treize', a related problem dating back to circa 1708.

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